Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work

Step-by-step explanation:

The equation is:

a x - c = b x + d

so we subtract b x from both sides to group the terms that contain x on the left:

a x - b x - c = d

add c to both sides to isolate the terms in x on the left:

a x - b x = d + c

extract "x" as common factor on the left:

x (a - b) = d + c

divide both sides by the quantity (a - b) to isolate the "x":

x = (d + c) / (a - b)

or:    

1. 24

2. 8

Step-by-step explanation:

1. Divide 4 by 1/6 (which is the same as 4*6) = 24 people are in the group

2. Divide 6 by 3 and then multiply by 4 to get the total hours.

6/3 = 2

2*4 = 8